An Introduction to noncommutative geometry - INSPIRE

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An Introduction to noncommutative geometry

Joseph C. Varilly
(
- Costa Rica U.
)

Sep, 1997

85 pages

e-Print:

physics/9709045 [physics]

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Abstract:

This is the introduction and bibliography for lecture notes of a course given at the Summer School on Noncommutative Geometry and Applications, sponsored by the European Mathematical Society, at Monsaraz and Lisboa, Portugal, September 1-10, 1997. In the published version, an epilogue of recent developments and many new references from 1998-2006 have been added. 1. Commutative geometry from the noncommutative point of view. 2. Spectral triples on the Riemann sphere. 3. Real spectral triples, the axiomatic foundation. 4. Geometries on the noncommutative torus. 5. The noncommutative integral. 6. Quantization and the tangent groupoid. 7. Equivalence of geometries. 8. Action functionals. 9. Epilogue: new directions.

Note:

Published as 'An Introduction to Noncommutative Geometry'. By Joseph C. Varilly. Zurich, European Math. Soc. Publishing House, 2006. (EMS Series of Lectures in Mathematics). 113p. PPF = 9742

lectures: Monsaraz/Lisbon 1997/09/01
differential geometry: noncommutative
space-time
Riemann surface
operator: Dirac
fibre bundle
Hilbert space
bibliography

References(175)

Figures(0)

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